Construct the confidence interval that could be used to test the claim in Exercise 3. What feature of the confidence interval leads to the same conclusion from Exercise 3? Based on these results, does it appear that weather forecasters are doing a good job? 

Data in Exercise 3.

Listed below are actual temperatures (°F) along with the temperatures that were forecast five days earlier (data collected by the author). Use a 0.05 significance level to test the claim that differences between actual temperatures and temperatures forecast five days earlier are from a population with a mean of 0°F.

Actual Temperature (F) Temperature (F) Forecast Five Days Earlier 80 77 81 85 73 73 80 72 83 81 80 80 79 80 79 82 76 73 77 83